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Finding the Fourth Proportional to 499,648.56, 689,581.73 and 281,901.93

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Solution

The fourth proportional to 499,648.56, 689,581.73 and 281,901.93 is: 389,062.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,648.56 : 689,581.73 = 281,901.93 : x
  2. Step 2: Convert to fraction form
    499,648.56/689,581.73 = 281,901.93/x
  3. Step 3: Cross multiply
    499,648.56x = 689,581.73 × 281,901.93
  4. Step 4: Simplify right side
    499,648.56x = 194,394,420,579.74
  5. Step 5: Solve for x
    x = 194,394,420,579.74/499,648.56
  6. Step 6: Final answer
    x = 389,062.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.